Geodesic
Surgery and involutions on 4–manifolds
Krushkal, Vyacheslav S1
1Department of Mathematics, University of Virginia, Charlottesville VA 22904, USA
Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1719-1732
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We prove that the canonical 4–dimensional surgery problems can be solved after passing to a double cover. This contrasts the long-standing conjecture about the validity of the topological surgery theorem for arbitrary fundamental groups (without passing to a cover). As a corollary, the surgery conjecture is reformulated in terms of the existence of free involutions on a certain class of 4–manifolds. We consider this question and analyze its relation to the A,B–slice problem.

DOI : 10.2140/agt.2005.5.1719
Keywords: 4–manifolds, surgery, involutions

Krushkal, Vyacheslav S  1

1 Department of Mathematics, University of Virginia, Charlottesville VA 22904, USA 
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Krushkal, Vyacheslav S. Surgery and involutions on 4–manifolds. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1719-1732. doi: 10.2140/agt.2005.5.1719

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